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3 years ago

1. Point is on the line . Find the measure of angle .

Mathematics

2 answers:

8090 [49]3 years ago

5 0

Answer:

180°

Step-by-step explanation:

makkiz [27]3 years ago

4 0

Answer:180

Step-by-step explanation:

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1. Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the points C(0,7) and D

kifflom [539]

You are correct that the slope of line AB is 2. To find the slope of the line CD, we can apply the slope formula again (like I assume you did with AB).

$m=\frac{15-7}{4-0}=\boxed{2}$

Therefore, since the slopes of lines AB and CD are equal, they are parallel

6 0

2 years ago

To safely cross a bridge, the most a delivery truck can weigh is 4 tons. The empty truck and driver weigh a total of 5,690 pound

brilliants [131]

Answer:

Truck can safely carry 2310 pounds of cargo.

Step-by-step explanation:

Given the safety limit of weight to cross the bridge safely is 4 tons.

1 ton is equal to 2000 pounds.

so, 4 tons are equal to 2000 $\times$ 4 = 8000 pounds

Now, given that

weight of empty truck and driver = 5690 pounds

To find:

Weight of cargo that the truck can safely carry ?

Solution:

Total weight of the truck is actually the combined weight of the empty truck, the drive and the cargo carried in it.

So, Total Weight allowed = 8000 pounds = 5690 pounds + Weight of Cargo

Weight of Cargo = 8000 - 5690 pounds

Weight of Cargo = 2310 pounds

Truck can safely carry 2310 pounds of cargo.

7 0

3 years ago

Maria bought a stock for x dollars, and she sold it at a profit of 20 %. Write a

Rus_ich [418]

Answer: 1.2x

Step-by-step explanation:

Profit = Selling price - Cost

She bought the stock at a cost of x dollars

Her profit was 20% of that, which is 0.2x dollars

Selling price = Profit + Cost = x + 0.2x = 1.2x

8 0

2 years ago

Airlines monitor the causes of flights arriving late. A total of 75% of flights are late because of weather, while 35% of flight

LekaFEV [45]

Answer:

36% is the joint probability that a flight arrives late because of weather and ground operations

Step-by-step explanation:

Given

% of flight late because of weather = 0.75

% of flight late because of ground operation = 0.35

% of flight late because of both weather and ground operation = 0.10

The probability of joint probability that a flight arrives late because of weather and ground operations is equal to

p (A and B) + {P(A) * P(B)}

0.10 + (0.75 * 0.35)

0.36

or 36%

7 0

3 years ago

X 4 6 9 11 15

Kitty [74]

The mean of this discrete random variable is 7.96

Solution:

Given that,

x 4 6 9 11 15

P(x) 0.20 0.34 0.15 0.22 0.09

Mean is given as:

$\mu_{x}=\sum[x \times P(x)]$

Therefore,

$\mu_{x} = (4 \times 0.20) + (6 \times 0.34 ) + (9 \times 0.15 ) + (11 \times 0.22 ) + (15 \times 0.09)\\\\Simplify\\\\\mu_{x} = 0.8 + 2.04 + 1.35 + 2.42 + 1.35\\\\\mu_{x} = 7.96$

Thus, mean of this discrete random variable is 7.96

7 0

3 years ago